Jonathan Christopher Mattingly

Research Areas and Keywords

Stochastic Analysis, Malliavin Calculus, Ergodic Theory
Biological Modeling
Stochastic and Random PDEs, Stochastic Dynamical Systems, Mathematical Ecology and Evolution, Metabolic and Cellular modeling, Out of equilibrium statistical mechanics
Computational Mathematics
Markov Chain Mixing, Stochastic Numerical Methods, High Dimensional Random Algorithms
PDE & Dynamical Systems
Stochastic and Random PDEs, Stochastic Dynamical Systems, Malliavin Calculus, Fluid Mechanics, Approximating invariant measures
Physical Modeling
Stochastic and Random PDEs, Stochastic Dynamical Systems, Fluid Mechanics
Stochastic and Random PDEs, Stochastic Dynamical Systems, Stochastic Analysis, Malliavin Calculus, Markov Chain Mixing, Ergodic Theory, High Dimensional Random Algorithms, Probability on stratified spaces, Out of equilibrium statistical mechanics, Approximating invariant measures

Jonathan Christopher  Mattingly grew up in Charlotte, NC where he attended Irwin Ave elementary and Charlotte Country Day.  He graduated from the NC School of Science and Mathematics and received a BS is Applied Mathematics with a concentration in physics from Yale University. After two years abroad with a year spent at ENS Lyon studying nonlinear and statistical physics on a Rotary Fellowship, he returned to the US to attend Princeton University where he obtained a PhD in Applied and Computational Mathematics in 1998. After 4 years as a Szego assistant professor at Stanford University and a year as a member of the IAS in Princeton, he moved to Duke in 2003. He is currently a Professor of Mathematics and of Statistical Science.

His expertise is in the longtime behavior of stochastic system including randomly forced fluid dynamics, turbulence, stochastic algorithms used in molecular dynamics and Bayesian sampling, and stochasticity in biochemical networks.

He is the recipient of a Sloan Fellowship and a PECASE CAREER award.  He is also a fellow of the IMS and the AMS.

Education & Training
  • Ph.D., Princeton University 1998

  • M.A., Princeton University 1996

  • B.S., Yale University 1992

Lawley, SD, Mattingly, JC, and Reed, MC. "Stochastic switching in infinite dimensions with applications to random parabolic PDE." Siam Journal on Mathematical Analysis 47.4 (January 1, 2015): 3035-3063. Full Text Open Access Copy

Herzog, D, and Mattingly, J. "Noise-induced stabilization of planar flows II." Electronic Journal of Probability 20.0 (2015). Full Text Open Access Copy

Huckemann, S, Mattingly, JC, Miller, E, and Nolen, J. "Sticky central limit theorems at isolated hyperbolic planar singularities." Electronic Journal of Probability 20 (January 1, 2015). Full Text Open Access Copy

Munch, E, Turner, K, Bendich, P, Mukherjee, S, Mattingly, J, and Harer, J. "Probabilistic Fréchet means for time varying persistence diagrams." Electronic Journal of Statistics 9 (January 1, 2015): 1173-1204. Full Text Open Access Copy

Herzog, DP, and Mattingly, JC. "Noise-Induced Stabilization of Planar Flows II." (April 2014). Open Access Copy

Mattingly, JC, and Vaughn, C. "Redistricting and the Will of the People." arXiv preprint arXiv:1410.8796 (2014). (Academic Article) Open Access Copy

Mattingly, JC, and Pardoux, E. "Invariant measure selection by noise. An example." Discrete and Continuous Dynamical Systems Series A 34.10 (January 1, 2014): 4223-4257. Full Text Open Access Copy

Lawley, SD, Mattingly, JC, and Reed, MC. "Sensitivity to switching rates in stochastically switched ODEs." Communications in Mathematical Sciences 12.7 (January 1, 2014): 1343-1352. Full Text Open Access Copy

Hotz, T, Huckemann, S, Le, H, Marron, JS, Mattingly, JC, Miller, E, Nolen, J, Owen, M, Patrangenaru, V, and Skwerer, S. "Sticky central limit theorems on open books." The Annals of Applied Probability 23.6 (December 2013): 2238-2258. Full Text Open Access Copy


Math Professor Jonathan Mattingly

Bracket math isn’t an exact science, but for years mathematicians have told us that the odds of picking a perfect NCAA tournament bracket are a staggering 1 in 9,223,372,036,854,775,808 (that’s 9.2 quintillion). According to Duke math... read more »